499.99 is what percent of 779 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 779 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 779, so we can write it down as 100%=779.
4. We know, that x% equals 499.99 of the output value, so we can write it down as x%=499.99.
5. Now we have two simple equations:
1) 100%=779
2) x%=499.99
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=779/499.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 499.99 is what percent of 779

100%/x%=779/499.99
(100/x)*x=(779/499.99)*x       - we multiply both sides of the equation by x
100=1.5580311606232*x       - we divide both sides of the equation by (1.5580311606232) to get x
100/1.5580311606232=x
64.183568677792=x
x=64.183568677792

now we have:
499.99 is 64.183568677792% of 779